The common multiples of 6 and 45 are the infinite set of multiples of their least common multiple, which is 90. So the common multiples of 6 and 45 are 90, 180, 270, 360, 450, 540, 630, 720, 810, 900, 990, and so on.
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They both go into 45*6 = 270. That is not the smallest number which they both go into, but that was not the question.
630
45 is a multiple of both 15 and itself, so 45 is the least common multiple of 15 and 45.
The least common multiple of 45 , 3 , 5 = 45
14 = 2*7 45 = 5*9 LCM = 14*45 = 630
Any multiple of 45 is also a multiple of 9